Global Wellposedness and Traveling Wave Solutions of PDE Models of Chemotaxis

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  Global Wellposedness and Traveling Wave Solutions of PDE Models of Chemotaxis
  Tong Li
  We investigate global existence and long ime behavior of solutions for PDE models of chemotaxis. These models include the classical Keller-Segel model and its variations such as a model reflecting rotational chemotactic motion. Moreover, we establish the existence and the nonlinear stability of large-amplitude traveling wave solutions to the system of nonlinear conservation laws derived from Keller-Segel model.